y=mx+b
Linear Function
Factoring
Key Features of Quadratic
Quadratic Function
100

What is the slope from two points

(-1, 1) and (5, -6)

What is -7/6

100

Given the function,

f(x) = 6(x + 2) + 15

What is the value of f(-4)?

What is 3

100

Factor the expression

x2 - 2x - 48

What is (x - 8)(x + 6)

100

What is the maximum value of the equation

f(x) = -7(x+3)2 - 9

What is -9

100

A company uses the given quadratic function to model its profits, in thousands of dollars, where x is the number of years since 2006.

  f(x)= -18x+ 202.61x + 1,282.46

Based on the model, what is f(14), in thousands of dollars?

What is 591 thousand dollars

200

What is the y-intercept from the points

(-2, 3) and (-9, -4)

What is 5

200

Given the function, 

f(x) = 0.25(6x - 12) + 3x

What is the value of f(-2)?

What is -12

200

Factor the expression

x2 + 5x + 6

What is (x + 2)(x + 3)

200
What is the axis of symmetry from the equation

f(x) = 4x2 + 24x + 30

What is x = -3

200

Two functions are given.

f(x) = 1.5x  and  g(x) = x2 + 6x + 12

When will f(x) be greater than g(x) as x approaches positive infinity?

What is when x is greater than 14

300

Write the equation in slope intercept form given the table.

x   |   y

5   |  13

7   |  17

9   |  21

11 |  25

What is y=2x+3

300

What are the solutions to the equation

2x2 + 4x + 1 = 4 - 2x2

What is x = 1/2 and x = -3/2

300

When comparing the function and the table, which has the smaller minimum value, and what is the value?

f(x) = x2 + 5x + 3 

x  |  g(x)

-5 |  0

-4 | -3

-3 | -4

-2 | -3

What is the g(x) table at value -4

300

A gardener makes circular garden beds for their yard.

  • The garden bed has a diameter of 18 centimeters.
  • The area of the garden bed will be 254.47 square centimeters.

What is an equation that can represent the area of the garden bed?

What is 254.47 = pi(9)2

400

A health club charges new members a one-time start-up fee in addition to a monthly fee. The cost, in dollars, of the membership for x months is modeled by the function f(x) = 80 + 30x. 

What does the 30 represent in the function?

What is the monthly fee

400

The graph of a quadratic function f(x) intersects the x-axis at 9 and -4.

What is a possible equation for f(x)?

What is x2 + 5x - 36
400

What is the range of the function f(x) = -0.5x2+2x-1?

What is y < 1 or (-infinity, 1)

500

Write 2 linear functions, f(x) and g(x), who's graphs are perpendicular.

ANSWERS VARY

500

An expression is given, x2 - zx - 24

The expression can be written as (x + q)(x + r) where q, r, and z are integers.

What are possible integer values of q, r, and z?

ANSWERS VARY

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